Metrics for Data.Random.Distribution.T:$ccdf from random-fu-0.2.6.2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze16.0ms (0.5%)

Memory

-8.5MiB live, 33.3MiB allocated; 9ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample813.0ms (25.7%)

Memory

11.9MiB live, 1 264.6MiB allocated; 202ms collecting garbage

Samples

563.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 242.0ms

ival-add: 138.0ms (57.1% of total)

ival-div: 99.0ms (40.9% of total)

ival-assert: 3.0ms (1.2% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

explain80.0ms (2.5%)

Memory

29.6MiB live, 120.9MiB allocated; 8ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 y y)`
-	-	`(/.f64 (+.f64 x y) (+.f64 y y))`
-	-	`y`
-	-	`(+.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

22.0ms

512×

valid

Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-add: 5.0ms (51.3% of total)

ival-div: 4.0ms (41.1% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess231.0ms (7.3%)

Memory

-26.8MiB live, 209.7MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	48
1	43	46
2	115	46
3	277	42
4	600	42
5	1442	42
6	4892	42
0	5	7
0	8	7
1	14	7
2	24	7
3	41	7
4	73	7
5	172	7
6	1251	7
7	7699	7
0	8015	7

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y y))

Outputs
(/.f64 (+.f64 x y) (+.f64 y y))
(/.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) y))

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify133.0ms (4.2%)

Memory

6.8MiB live, 147.9MiB allocated; 25ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 y y)
cost-diff	0	(+.f64 x y)
cost-diff	0	(/.f64 (+.f64 x y) (+.f64 y y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	14	15
2	24	15
3	41	15
4	73	15
5	172	15
6	1251	15
7	7699	15
0	8015	15

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
(+.f64 x y)
x
y
(+.f64 y y)

Outputs
(/.f64 (+.f64 x y) (+.f64 y y))
(/.f64 (+.f64 y x) (*.f64 #s(literal 2 binary64) y))
(+.f64 x y)
(+.f64 y x)
x
y
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)

localize19.0ms (0.6%)

Memory

-15.1MiB live, 30.6MiB allocated; 7ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y y)
accuracy	0.0	(+.f64 x y)
accuracy	0.0078125	(/.f64 (+.f64 x y) (+.f64 y y))

Samples

11.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 3.0ms (61.8% of total)

ival-div: 2.0ms (41.2% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series5.0ms (0.2%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Counts

3 → 13

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
(+.f64 x y)
(+.f64 y y)

Outputs
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 1/2))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y)))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y)))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((/ (+ x y) (+ y y)) (+ x y) (+ y y))
1.0ms	x	@	inf	((/ (+ x y) (+ y y)) (+ x y) (+ y y))
1.0ms	y	@	inf	((/ (+ x y) (+ y y)) (+ x y) (+ y y))
1.0ms	y	@	0	((/ (+ x y) (+ y y)) (+ x y) (+ y y))
1.0ms	x	@	-inf	((/ (+ x y) (+ y y)) (+ x y) (+ y y))

simplify215.0ms (6.8%)

Memory

-19.4MiB live, 282.3MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	119
1	123	119
2	285	119
3	880	119
4	4137	119
0	8189	111

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 13

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 1/2))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y)))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y)))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Outputs
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 1/2))
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y)))))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) y)
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (+ x y) (+.f64 y x))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) x)
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ x y) (+.f64 y x))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (+ x y) (+.f64 y x))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y)))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
#s(approx (+ y y) (*.f64 #s(literal 2 binary64) y))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ x y) (+.f64 y x))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (+ x y) (+.f64 y x))

rewrite134.0ms (4.2%)

Memory

41.5MiB live, 133.2MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	36	13
0	267	13

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

3 → 42

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
(+.f64 x y)
(+.f64 y y)

Outputs
(*.f64 (/.f64 (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64))
(.f64 (/.f64 (+.f64 y x) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) y)
(/.f64 (-.f64 (.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) (/.f64 x (.f64 #s(literal -2 binary64) y))) (.f64 (/.f64 y (.f64 #s(literal -2 binary64) y)) (/.f64 y (.f64 #s(literal -2 binary64) y)))) (-.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) (/.f64 y (.f64 #s(literal -2 binary64) y))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) (/.f64 x (.f64 #s(literal -2 binary64) y)) (-.f64 (.f64 (/.f64 y (.f64 #s(literal -2 binary64) y)) (/.f64 y (.f64 #s(literal -2 binary64) y))) (.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) (/.f64 y (.f64 #s(literal -2 binary64) y))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 y x))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (fma.f64 x (.f64 #s(literal -2 binary64) y) (.f64 (.f64 #s(literal -2 binary64) y) y)) (.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -2 binary64) y)))
(/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (.f64 (-.f64 x y) (*.f64 #s(literal -2 binary64) y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) (*.f64 #s(literal -2 binary64) y)))
(/.f64 (neg.f64 (+.f64 y x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 (+.f64 y x) (*.f64 #s(literal -2 binary64) y))
(neg.f64 (*.f64 (/.f64 (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 x #s(literal 0 binary64)) #s(literal 0 binary64) (/.f64 y (*.f64 #s(literal -2 binary64) y)))
(fma.f64 (/.f64 x (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)) (/.f64 y (.f64 #s(literal -2 binary64) y)))
(fma.f64 (/.f64 y #s(literal 0 binary64)) #s(literal 0 binary64) (/.f64 x (*.f64 #s(literal -2 binary64) y)))
(fma.f64 (/.f64 y (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)) (/.f64 x (.f64 #s(literal -2 binary64) y)))
(+.f64 (/.f64 y (.f64 #s(literal -2 binary64) y)) (/.f64 x (.f64 #s(literal -2 binary64) y)))
(+.f64 (/.f64 x (.f64 #s(literal -2 binary64) y)) (/.f64 y (.f64 #s(literal -2 binary64) y)))
(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 y x))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (.f64 x x))))
(+.f64 y x)
(+.f64 x y)
(*.f64 #s(literal -2 binary64) y)
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(neg.f64 (*.f64 #s(literal -2 binary64) y))
(-.f64 (/.f64 (.f64 y y) #s(literal 0 binary64)) (/.f64 (.f64 y y) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(+.f64 (neg.f64 y) (neg.f64 y))
(+.f64 y y)

eval18.0ms (0.6%)

Memory: -35.6MiB live, 16.1MiB allocated; 6ms collecting garbage
Compiler: Compiled 679 to 144 computations (78.8% saved)

prune2.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	4	50

Accuracy

100.0%

Counts

50 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) (+.f64 y y))
▶	49.6%	(/.f64 #s(approx (+ x y) x) (+.f64 y y))
▶	99.8%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
▶	51.9%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Compiler

Compiled 39 to 27 computations (30.8% saved)

simplify241.0ms (7.6%)

Memory

10.4MiB live, 238.2MiB allocated; 50ms collecting garbage

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 y y)
cost-diff	0	#s(approx (+ x y) x)
cost-diff	0	(/.f64 #s(approx (+ x y) x) (+.f64 y y))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	55
0	18	55
1	28	55
2	50	55
3	87	55
4	152	55
5	395	53
6	2797	53
0	8458	53

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(/.f64 #s(approx (+ x y) x) (+.f64 y y))
#s(approx (+ x y) x)
x
(+.f64 y y)
y

Outputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(/.f64 #s(approx (+ x y) x) (+.f64 y y))
(/.f64 (/.f64 #s(approx (+ x y) x) y) #s(literal 2 binary64))
#s(approx (+ x y) x)
x
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
y

localize41.0ms (1.3%)

Memory

-7.0MiB live, 38.7MiB allocated; 7ms collecting garbage

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y y)
accuracy	0.0078125	(/.f64 #s(approx (+ x y) x) (+.f64 y y))
accuracy	32.38280258907384	#s(approx (+ x y) x)
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) y)
accuracy	0.0	#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
accuracy	0.11328125	(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
accuracy	30.81037188892166	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Samples

18.0ms

256×

valid

Compiler

Compiled 45 to 11 computations (75.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 4.0ms (41.4% of total)

ival-add: 4.0ms (41.4% of total)

ival-mult: 2.0ms (20.7% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series5.0ms (0.2%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms collecting garbage

Counts

7 → 20

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(approx (+ x y) x) (+.f64 y y))
#s(approx (+ x y) x)
(+.f64 y y)

Outputs
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 1/2))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y)))))
#s(approx (+ (* (/ 1/2 y) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ 1/2 y) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y)))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))
#s(approx (+ (* (/ 1/2 y) x) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (* (/ 1/2 y) x) 1/2) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (* (/ 1/2 y) x) 1/2) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y)))
#s(approx (+ (* (/ 1/2 y) x) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y)))
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y)))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	((/ (+ x y) (+ y y)) (/ (+ x y) (+ y y)) (+ (* (/ 1/2 y) x) 1/2) (/ 1/2 y) (/ (+ x y) (+ y y)) (+ x y) (+ y y))
1.0ms	y	@	-inf	((/ (+ x y) (+ y y)) (/ (+ x y) (+ y y)) (+ (* (/ 1/2 y) x) 1/2) (/ 1/2 y) (/ (+ x y) (+ y y)) (+ x y) (+ y y))
1.0ms	y	@	inf	((/ (+ x y) (+ y y)) (/ (+ x y) (+ y y)) (+ (* (/ 1/2 y) x) 1/2) (/ 1/2 y) (/ (+ x y) (+ y y)) (+ x y) (+ y y))
1.0ms	x	@	inf	((/ (+ x y) (+ y y)) (/ (+ x y) (+ y y)) (+ (* (/ 1/2 y) x) 1/2) (/ 1/2 y) (/ (+ x y) (+ y y)) (+ x y) (+ y y))
1.0ms	x	@	-inf	((/ (+ x y) (+ y y)) (/ (+ x y) (+ y y)) (+ (* (/ 1/2 y) x) 1/2) (/ 1/2 y) (/ (+ x y) (+ y y)) (+ x y) (+ y y))

simplify195.0ms (6.2%)

Memory

3.2MiB live, 240.4MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	208
1	148	208
2	322	208
3	927	208
4	4283	208
0	8447	190

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 20

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 1/2))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y)))))
#s(approx (+ (* (/ 1/2 y) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ 1/2 y) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y)))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))
#s(approx (+ (* (/ 1/2 y) x) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (* (/ 1/2 y) x) 1/2) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (* (/ 1/2 y) x) 1/2) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y)))
#s(approx (+ (* (/ 1/2 y) x) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y)))
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y)))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Outputs
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 1/2))
#s(approx (+ (* (/ 1/2 y) x) 1/2) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y)))))
#s(approx (+ (* (/ 1/2 y) x) 1/2) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ 1/2 y) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ 1/2 y) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (/ 1/2 y) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y)))))
#s(approx (+ (* (/ 1/2 y) x) 1/2) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) y)
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (+ x y) (+.f64 y x))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (* (/ 1/2 y) x) 1/2) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))
#s(approx (+ (* (/ 1/2 y) x) 1/2) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ 1/2 y) x) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (* (/ 1/2 y) x) 1/2) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ 1/2 y) x) 1/2) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))
#s(approx (+ (* (/ 1/2 y) x) 1/2) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) x)
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ x y) (+.f64 y x))
#s(approx (+ (* (/ 1/2 y) x) 1/2) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ 1/2 y) x) 1/2) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (+ x y) (+.f64 y x))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y)))
#s(approx (+ (* (/ 1/2 y) x) 1/2) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ 1/2 y) x) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y)))
#s(approx (+ (* (/ 1/2 y) x) 1/2) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ 1/2 y) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
#s(approx (+ y y) (*.f64 #s(literal 2 binary64) y))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ x y) (+.f64 y x))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (+ x y) (+.f64 y x))

rewrite137.0ms (4.3%)

Memory

-14.9MiB live, 148.9MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
0	18	49
1	70	49
0	469	49

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

7 → 44

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(approx (+ x y) x) (+.f64 y y))
#s(approx (+ x y) x)
(+.f64 y y)

Outputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) y)) x))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal 1/2 binary64) y)
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))
(neg.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(approx (+ x y) x) #s(literal 0 binary64)) #s(literal 0 binary64))
(.f64 (/.f64 #s(approx (+ x y) x) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (/.f64 #s(approx (+ x y) x) #s(literal 2 binary64)) y)
(/.f64 (neg.f64 (neg.f64 #s(approx (+ x y) x))) (*.f64 #s(literal -2 binary64) y))
(/.f64 (neg.f64 #s(approx (+ x y) x)) (*.f64 #s(literal -2 binary64) y))
(/.f64 #s(approx (+ x y) x) (*.f64 #s(literal -2 binary64) y))
(neg.f64 (*.f64 (/.f64 #s(approx (+ x y) x) #s(literal 0 binary64)) #s(literal 0 binary64)))
#s(approx (+ x y) x)
(*.f64 #s(literal -2 binary64) y)
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(neg.f64 (*.f64 #s(literal -2 binary64) y))
(-.f64 (/.f64 (.f64 y y) #s(literal 0 binary64)) (/.f64 (.f64 y y) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(+.f64 (neg.f64 y) (neg.f64 y))
(+.f64 y y)

eval5.0ms (0.1%)

Memory: 17.8MiB live, 17.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 823 to 153 computations (81.4% saved)

prune2.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	0	0	0
Picked	1	2	3
Done	1	0	1
Total	52	3	55

Accuracy

100.0%

Counts

55 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.6%	(/.f64 #s(approx (+ x y) x) (+.f64 y y))
▶	100.0%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
✓	51.9%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify159.0ms (5%)

Memory

-18.0MiB live, 173.7MiB allocated; 11ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 x y)
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	26
0	12	26
1	22	26
2	43	26
3	76	26
4	149	26
5	433	25
6	3492	25
0	8087	25

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 x y)
x
y

Outputs
#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 x y)
x
y

localize37.0ms (1.2%)

Memory

0.7MiB live, 47.5MiB allocated; 3ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))

Samples

31.0ms

256×

valid

Compiler

Compiled 22 to 11 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 16.0ms (67.4% of total)

ival-div: 4.0ms (16.9% of total)

ival-add: 4.0ms (16.9% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Counts

3 → 12

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)

Outputs
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 1/2))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y)))))
#s(approx (+ (* 1/2 (/ x y)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/2 (/ x y)) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y)))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))
#s(approx (+ (* 1/2 (/ x y)) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (* 1/2 (/ x y)) 1/2) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))
#s(approx (+ (* 1/2 (/ x y)) 1/2) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y)))
#s(approx (+ (* 1/2 (/ x y)) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y)))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ (+ x y) (+ y y)) (+ (* 1/2 (/ x y)) 1/2) (/ x y))
1.0ms	x	@	inf	((/ (+ x y) (+ y y)) (+ (* 1/2 (/ x y)) 1/2) (/ x y))
1.0ms	y	@	-inf	((/ (+ x y) (+ y y)) (+ (* 1/2 (/ x y)) 1/2) (/ x y))
1.0ms	x	@	0	((/ (+ x y) (+ y y)) (+ (* 1/2 (/ x y)) 1/2) (/ x y))
1.0ms	y	@	inf	((/ (+ x y) (+ y y)) (+ (* 1/2 (/ x y)) 1/2) (/ x y))

simplify218.0ms (6.9%)

Memory

-25.2MiB live, 160.7MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	156
1	82	156
2	200	156
3	635	156
4	2761	156
5	7706	156
0	8132	138

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 1/2))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y)))))
#s(approx (+ (* 1/2 (/ x y)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* 1/2 (/ x y)) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y)))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))
#s(approx (+ (* 1/2 (/ x y)) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (* 1/2 (/ x y)) 1/2) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))
#s(approx (+ (* 1/2 (/ x y)) 1/2) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y)))
#s(approx (+ (* 1/2 (/ x y)) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y)))

Outputs
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 1/2))
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y)))))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 (/ x y)) 1/2) #s(hole binary64 1/2))
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
#s(approx (+ (* 1/2 (/ x y)) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ x y)))))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ x y) (/.f64 x y))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 (/ x y)) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (+ x y) (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 (/ x y)) 1/2) #s(hole binary64 (* x (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 (/ x y)) 1/2) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (/ (+ x y) (+ y y)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y)))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 (/ x y)) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 y)) y)))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

rewrite93.0ms (2.9%)

Memory

23.5MiB live, 77.2MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
0	12	23
1	61	23
0	442	23

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

3 → 21

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)

Outputs
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 x y) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 x y) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 x y) #s(literal 1/4 binary64))))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (/.f64 x y)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (/.f64 x y) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 x y) #s(literal 1/4 binary64)))))
(+.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(neg.f64 (/.f64 x (neg.f64 y)))

eval3.0ms (0.1%)

Memory: 6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 495 to 93 computations (81.2% saved)

prune14.0ms (0.4%)

Memory

-40.2MiB live, 5.8MiB allocated; 5ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	24	3	27

Accuracy

100.0%

Counts

27 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.6%	(/.f64 #s(approx (+ x y) x) (+.f64 y y))
✓	100.0%	#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
✓	51.9%	#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Compiler

Compiled 85 to 40 computations (52.9% saved)

regimes7.0ms (0.2%)

Memory

18.5MiB live, 18.5MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
(/.f64 #s(approx (+ x y) x) (+.f64 y y))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (/ (+ x y) (+ y y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x #s(literal 1/2 binary64)))
(/.f64 (+.f64 x y) (+.f64 y y))

Outputs
#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))

Calls

3 calls:

3.0ms	y
2.0ms	x
2.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 (+.f64 x y) (+.f64 y y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
(/.f64 #s(approx (+ x y) x) (+.f64 y y))

Outputs
(/.f64 #s(approx (+ x y) x) (+.f64 y y))
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))
(/.f64 #s(approx (+ x y) x) (+.f64 y y))

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

Accuracy	Segments	Branch
97.9%	3	`(/.f64 (+.f64 x y) (+.f64 y y))`
76.0%	3	`x`
77.7%	3	`y`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes3.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Outputs
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	(/.f64 (+.f64 x y) (+.f64 y y))

Results

Accuracy	Segments	Branch
51.9%	1	`x`
51.9%	1	`y`
51.9%	1	`(/.f64 (+.f64 x y) (+.f64 y y))`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.596820072685887	7.033735460909783
0.0ms	-7.588912563618299	0.49847805841230397

Compiler

Compiled 10 to 10 computations (0% saved)

simplify70.0ms (2.2%)

Memory

-23.6MiB live, 65.2MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	62
1	32	62
2	44	62
3	70	62
4	157	62
5	1050	62

Stop Event

1×	node limit

Calls

Call 1

Inputs

#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))

(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -5 binary64)) (/.f64 #s(approx (+ x y) x) (+.f64 y y)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) (/.f64 #s(approx (+ x y) x) (+.f64 y y))))

#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

Outputs
#s(approx (/ (+ x y) (+ y y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -5 binary64)) (/.f64 #s(approx (+ x y) x) (+.f64 y y)) (if (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)) (/.f64 #s(approx (+ x y) x) (+.f64 y y))))
(if (or (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal -5 binary64)) (not (<=.f64 (/.f64 (+.f64 x y) (+.f64 y y)) #s(literal 1 binary64)))) (/.f64 #s(approx (+ x y) x) (+.f64 y y)) #s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64)))
#s(approx (/ (+ x y) (+ y y)) #s(literal 1/2 binary64))

derivations207.0ms (6.5%)

Memory

11.8MiB live, 136.2MiB allocated; 68ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 62 to 22 computations (64.5% saved)

preprocess52.0ms (1.6%)

Memory: 23.7MiB live, 67.9MiB allocated; 14ms collecting garbage
Compiler: Compiled 152 to 66 computations (56.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze16.0ms (0.5%)

sample813.0ms (25.7%)

explain80.0ms (2.5%)

preprocess231.0ms (7.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify133.0ms (4.2%)

localize19.0ms (0.6%)

series5.0ms (0.2%)

simplify215.0ms (6.8%)

rewrite134.0ms (4.2%)

eval18.0ms (0.6%)

prune2.0ms (0.1%)

simplify241.0ms (7.6%)

localize41.0ms (1.3%)

series5.0ms (0.2%)

simplify195.0ms (6.2%)

rewrite137.0ms (4.3%)

eval5.0ms (0.1%)

prune2.0ms (0.1%)

simplify159.0ms (5%)

localize37.0ms (1.2%)

series4.0ms (0.1%)

simplify218.0ms (6.9%)

rewrite93.0ms (2.9%)

eval3.0ms (0.1%)

prune14.0ms (0.4%)

regimes7.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch1.0ms (0%)

simplify70.0ms (2.2%)

derivations207.0ms (6.5%)

preprocess52.0ms (1.6%)

end0.0ms (0%)

Profiling